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Axial Load for Tied Columns Calculator

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✖Area of tension reinforcement is the area of column under tension.ⓘ area of tension reinforcement [As]
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✖Yield strength of reinforcement is stress at which a predetermined amount of permanent deformation occurs.ⓘ yield strength of reinforcement [fy
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✖Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).ⓘ Distance from Compression to Tensile Reinforcement [d]
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✖Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).ⓘ Distance from Compression to Centroid Reinforcment [d']
+10%
-10%
✖The Bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Axial Load for Tied Columns [M]
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Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has created this Calculator and 100+ more calculators!
Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has verified this Calculator and 500+ more calculators!

11 Other formulas that you can solve using the same Inputs

Ultimate Strength for Symmetrical Reinforcement
Axial Load Capacity=0.85*28 Day Compressive Strength of Concrete*Width of compression face*Distance from Compression to Tensile Reinforcement*Capacity reduction factor*((-Area ratio of tensile reinforcement)+1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement))^2)+2*Area ratio of tensile reinforcement*((Force ratio of strengths of reinforcements-1)*(1-(Distance from Compression to Centroid Reinforcment/Distance from Compression to Tensile Reinforcement))+(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)))) GO
Ultimate Strength for No Compression Reinforcement
Axial Load Capacity=0.85*28 Day Compressive Strength of Concrete*Width of compression face*Distance from Compression to Tensile Reinforcement*Capacity reduction factor*((-Area ratio of tensile reinforcement*Force ratio of strengths of reinforcements)+1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by method of frame analysis/Distance from Compression to Tensile Reinforcement))^2)+2*(Area ratio of tensile reinforcement*Eccentricity by method of frame analysis*Force ratio of strengths of reinforcements/Distance from Compression to Tensile Reinforcement))) GO
Balanced Moment when Φ is Given
Balanced Moment=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress*(Distance from Compression to Tensile Reinforcement-Distance from Plastic to Tensile Reinforcement-Depth Rectangular Compressive Stress/2))+(Area of Compressive Reinforcement*Yeild Strength of Base Plate*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment-Distance from Plastic to Tensile Reinforcement))+(area of tension reinforcement*Tensile Stress in Steel*Distance from Plastic to Tensile Reinforcement)) GO
Ultimate Strength for Symmetrical Reinforcement in Single Layers
Axial Load Capacity=Capacity reduction factor*((Area of Compressive Reinforcement*Yield strength of reinforcing steel/((Eccentricity/Distance from Compression to Tensile Reinforcement)-Distance from Compression to Centroid Reinforcment+0.5))+(Width of compression face*Depth of column*28 Day Compressive Strength of Concrete/((3*Depth of column*Eccentricity/(Distance from Compression to Tensile Reinforcement^2))+1.18))) GO
Compressive Reinforcement Area when Axial-Load Capacity of Short Rectangular Members is Given
Area of Compressive Reinforcement=((Axial Load Capacity/Resistance Factor)-(.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(area of tension reinforcement*Tensile Stress in Steel))/Yeild Strength of Base Plate GO
Tensile Stress in Steel when Axial-Load Capacity of Short Rectangular Members is Given
Tensile Stress in Steel=((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(Axial Load Capacity/Resistance Factor))/area of tension reinforcement GO
Axial-Load Capacity of Short Rectangular Members
Axial Load Capacity=Resistance Factor*((.85*28 Day Compressive Strength of Concrete*Width of compression face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yeild Strength of Base Plate)-(area of tension reinforcement*Tensile Stress in Steel)) GO
Maximum Permissible Eccentricity for Tied Columns
Maximum permissible eccentricity=(0.67*Area ratio of cross sectional area to gross area*Force ratio of strengths of reinforcements*Diameter +0.17)*Distance from Compression to Tensile Reinforcement GO
Reinforcement Yield Strength when Axial Load for Tied Columns is Given
yield strength of reinforcement=(Bending moment)/(0.40*area of tension reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment)) GO
Tension Reinforcement Area when Axial Load for Tied Columns is Given
area of tension reinforcement=(Bending moment)/(0.40*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment)) GO
Axial Load for Spiral Columns
Bending moment=0.12*Total area*yield strength of reinforcement*Diameter of reinforcement GO

11 Other formulas that calculate the same Output

Bending moment at a distance x from end A
Bending moment=((Load per unit length*(Length of Shaft^2))/12)+((Load per unit length*(Distance of small section of shaft from end A^2))/2)-((Load per unit length*Length of Shaft*Distance of small section of shaft from end A)/2) GO
Total Bending Moment when Unit Stress in Compressive Reinforcing Steel is Given
Bending moment=Moment of Inertia Transformed Beam*Unit Stress in Compressive Reinforcing Steel/(2*Elasticity Ratio of Steel to Concrete*Distance Neutral to Compressive Reinforcing Steel) GO
Maximum bending moment at a distance x from end A
Bending moment=((Load per unit length*(Distance of small section of shaft from end A^2))/2)-((Load per unit length*Length of Shaft*Distance of small section of shaft from end A)/2) GO
Total Bending Moment when Unit Stress in Tensile Reinforcing Steel is Given
Bending moment=Unit Stress in tensile Reinforcing Steel*Moment of Inertia Transformed Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel) GO
Bending Moment when Cross-Sectional Area of Compressive Reinforcing is Given
Bending moment=(Elasticity Ratio of Steel to Concrete*Compressive Stress*Depth of the Beam*Area of Compressive Reinforcement)+Bending Moment Tensile Reinforcing GO
Total Bending Moment when Unit Stress in Extreme Fiber of Concrete is Given
Bending moment=Unit Stress in Fiber of Concrete*Moment of Inertia Transformed Beam/Distance Neutral to face of Concrete GO
Axial Load for Spiral Columns
Bending moment=0.12*Total area*yield strength of reinforcement*Diameter of reinforcement GO
Bending Moment when Strain Energy in Bending is Given
Bending moment=sqrt(Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/Length) GO
Bending Moment when Moment Resisting Capacity of Compressive Steel and Concrete is Given
Bending moment=moment resistance compressive steel+Moment Resistance of Concrete GO
Bending Moment when Total Cross-Sectional Area of Tensile Reinforcing is Given
Bending moment=Cross sectional area*7*Reinforcement Stress*Depth of the Beam/8 GO
Bending Moment when Stress in Concrete is Given
Bending moment=(Stress*Ratio k*Ratio j*Beam Width*Depth of the Beam^2)/2 GO

Axial Load for Tied Columns Formula

Bending moment=0.40*area of tension reinforcement*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment)
M=0.40*A<sub>s</sub>*f<sub>y</sub>*(d-d')
More formulas
Maximum Permissible Eccentricity for Spiral Columns GO
Maximum Permissible Eccentricity for Tied Columns GO
Circle Diameter when Maximum Permissible Eccentricity for Spiral Columns is Given GO
Column Diameter when Maximum Permissible Eccentricity for Spiral Columns is Given GO
Circle Diameter when Axial Load for Spiral Columns is Given GO
Reinforcement Yield Strength when Axial Load for Spiral Columns is Given GO
Longitudinal Reinforcement Area when Axial Load for Spiral Columns is Given GO
Axial Load for Spiral Columns GO
Reinforcement Yield Strength when Axial Load for Tied Columns is Given GO
Tension Reinforcement Area when Axial Load for Tied Columns is Given GO
Axial Moment at Balanced Condition GO
Axial Load at Balanced Condition GO

What are tied columns?

Tied columns are in which the longitudinal reinforcement bars are tied together with separate smaller diameter transverse bars (ties) spaced at some interval along the column height. These ties help to hold the longitudinal reinforcement bars in place during construction and ensure the stability of these bars against local buckling.

How to Calculate Axial Load for Tied Columns?

Axial Load for Tied Columns calculator uses Bending moment=0.40*area of tension reinforcement*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment) to calculate the Bending moment, Axial Load for Tied Columns is defined as the load applied on the structure directly along an axis of the structure. Bending moment and is denoted by M symbol.

How to calculate Axial Load for Tied Columns using this online calculator? To use this online calculator for Axial Load for Tied Columns, enter area of tension reinforcement (As), yield strength of reinforcement (fy, Distance from Compression to Tensile Reinforcement (d) and Distance from Compression to Centroid Reinforcment (d') and hit the calculate button. Here is how the Axial Load for Tied Columns calculation can be explained with given input values -> 400000 = 0.40*10*10000000*(0.02-0.01).

FAQ

What is Axial Load for Tied Columns?
Axial Load for Tied Columns is defined as the load applied on the structure directly along an axis of the structure and is represented as M=0.40*As*fy or Bending moment=0.40*area of tension reinforcement*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment). Area of tension reinforcement is the area of column under tension, Yield strength of reinforcement is stress at which a predetermined amount of permanent deformation occurs, Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm) and Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).
How to calculate Axial Load for Tied Columns?
Axial Load for Tied Columns is defined as the load applied on the structure directly along an axis of the structure is calculated using Bending moment=0.40*area of tension reinforcement*yield strength of reinforcement*(Distance from Compression to Tensile Reinforcement-Distance from Compression to Centroid Reinforcment). To calculate Axial Load for Tied Columns, you need area of tension reinforcement (As), yield strength of reinforcement (fy, Distance from Compression to Tensile Reinforcement (d) and Distance from Compression to Centroid Reinforcment (d'). With our tool, you need to enter the respective value for area of tension reinforcement, yield strength of reinforcement, Distance from Compression to Tensile Reinforcement and Distance from Compression to Centroid Reinforcment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Bending moment?
In this formula, Bending moment uses area of tension reinforcement, yield strength of reinforcement, Distance from Compression to Tensile Reinforcement and Distance from Compression to Centroid Reinforcment. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Bending moment=sqrt(Strain Energy*(2*Modulus Of Elasticity*Moment of Inertia)/Length)
  • Bending moment=(Stress*Ratio k*Ratio j*Beam Width*Depth of the Beam^2)/2
  • Bending moment=Cross sectional area*7*Reinforcement Stress*Depth of the Beam/8
  • Bending moment=(Elasticity Ratio of Steel to Concrete*Compressive Stress*Depth of the Beam*Area of Compressive Reinforcement)+Bending Moment Tensile Reinforcing
  • Bending moment=Unit Stress in tensile Reinforcing Steel*Moment of Inertia Transformed Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel)
  • Bending moment=Moment of Inertia Transformed Beam*Unit Stress in Compressive Reinforcing Steel/(2*Elasticity Ratio of Steel to Concrete*Distance Neutral to Compressive Reinforcing Steel)
  • Bending moment=Unit Stress in Fiber of Concrete*Moment of Inertia Transformed Beam/Distance Neutral to face of Concrete
  • Bending moment=0.12*Total area*yield strength of reinforcement*Diameter of reinforcement
  • Bending moment=((Load per unit length*(Distance of small section of shaft from end A^2))/2)-((Load per unit length*Length of Shaft*Distance of small section of shaft from end A)/2)
  • Bending moment=((Load per unit length*(Length of Shaft^2))/12)+((Load per unit length*(Distance of small section of shaft from end A^2))/2)-((Load per unit length*Length of Shaft*Distance of small section of shaft from end A)/2)
  • Bending moment=moment resistance compressive steel+Moment Resistance of Concrete
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